We show that, for every n ≥ 2, there exists a torsion-free one-ended word-hyperbolic group G of rank n admitting generating n-tuples (a1, . . . , an) and (b1, . . . , bn) such that the (2n - 1)-tuples are not Nielsen equivalent in G. The group G is produced via a probabilistic construction.
ASJC Scopus subject areas
- Geometry and Topology